Question

A smallA block slides a smooth inclined plane, starting from rest at time t = 0.Let Sn be the distance travelled by th block in the interval t=n-1 to t=n.Then the Ratioos ^S_n^/S_n-1

Answer 1

$$\begin{gathered} dis\tan cetarvelledinnthsecond \\ {s}_n=u+\frac{a}{2}(2n-1) \\ {s}_{n-1}=u+\frac{a}{2}(2n-3) \\ fortheinclinedplane,u=0 \\ a=g\sin \theta \\ \frac{s_n}{s_{n-1}}=\frac{u+\frac{a}{2}(2n-1)}{u+\frac{a}{2}(2n-3)}=\frac{\frac{a}{2}(2n-1)}{\frac{a}{2}(2n-3)}=\frac{2n-1}{2n-3} \end{gathered}$$